The bilinear transformation, introduced in the previous problem, may also be used to obt...

The bilinear transformation, introduced in the previous problem, may also be used to obtain a. discrete-time filter, the magnitude of whose frequency response is sim-ilar to the magnitude of the frequency response of a given continuous-time low-pass filter. In this problem, we illustrate the similarity through the example of a continuous-time second-order Butterworth filter with system function .